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Finding the Fourth Proportional to 7,370.74, 10,171.86 and 4,184.05

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Solution

The fourth proportional to 7,370.74, 10,171.86 and 4,184.05 is: 5,774.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,370.74 : 10,171.86 = 4,184.05 : x
  2. Step 2: Convert to fraction form
    7,370.74/10,171.86 = 4,184.05/x
  3. Step 3: Cross multiply
    7,370.74x = 10,171.86 × 4,184.05
  4. Step 4: Simplify right side
    7,370.74x = 42,559,570.83
  5. Step 5: Solve for x
    x = 42,559,570.83/7,370.74
  6. Step 6: Final answer
    x = 5,774.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.